The meshless
radial basis function collocation method is an efficient numerical technique
for solving partial differential equations. The multiquadric is the most widely
utilized radial function for this purpose; but it contains a shape parameter,
which has a significant effect on the performance of the method. In this study,
the meshless collocation method employing multiquadric as the radial function with
optimum shape parameters is applied to the numerical solution of the multigroup
neutron diffusion equation. The optimization of the shape parameter is
performed by minimizing the Madych-Nelson function. One external and two
fission source problems are solved to investigate the performance of the
method. The results show that the meshless collocation method with optimized
shape parameters yield a high level of accuracy with an exponential convergence
rate.
Meshless RBF Collocation Optimum shape parameter Neutron diffusion
Birincil Dil | İngilizce |
---|---|
Konular | Mühendislik |
Bölüm | Research Articles |
Yazarlar | |
Yayımlanma Tarihi | 24 Haziran 2019 |
Yayımlandığı Sayı | Yıl 2019Cilt: 3 Sayı: 1 |
The works published in Journal of Innovative Science and Engineering (JISE) are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.